ABSTRACT

In this study, a discrete fractional order PID controller for nonlinear systems is proposed. U-model is firstly employed to transform nonlinear systems into a linear-like model and model complexity is then degraded and easier for controller design. Then, a new discrete fractional order PID control law in difference equation is presented which takes advantage of two more adjustable parameters. Finally, robust stability of the control law is analysed. Both deterministic and stochastic examples are provided to illustrate the effectiveness and superiority of the proposed controller.

中文翻译：

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非线性系统的离散分数阶PID控制器设计

摘要

在这项研究中，提出了一种用于非线性系统的离散分数阶 PID 控制器。U-model首先被用来将非线性系统转化为类线性模型，然后降低模型复杂度，便于控制器设计。然后，提出了一种新的差分方程离散分数阶PID控制律，它利用了另外两个可调参数。最后，分析了控制律的鲁棒稳定性。提供了确定性和随机性的例子来说明所提出的控制器的有效性和优越性。